Integral (Power Rule) Calculator
Calculate the integral of a term ax^n using the power rule. Shows the antiderivative and definite integral.
Definite
54.0000
New Coeff2.000000
New Exp3
Power Rule for Integration
Rule
integral of ax^n dx = (a/(n+1)) × x^(n+1) + C (when n ≠ -1)
For n = -1, the integral is a × ln
Definite Integral
Evaluate the antiderivative at the upper and lower bounds and subtract:
F(upper) - F(lower)
Example Calculation
Integrate 6x² from 0 to 3.
- 01Antiderivative: (6/3)x³ = 2x³
- 02F(3) = 2 × 27 = 54
- 03F(0) = 2 × 0 = 0
- 04Definite integral = 54 - 0 = 54
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